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Finding the Third Proportional to 933.61 and 1,956.66

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Solution

The third proportional to 933.61 and 1,956.66 is: 4,100.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    933.61 : 1,956.66 = 1,956.66 : x
  2. Step 2: Convert to fraction form
    933.61/1,956.66 = 1,956.66/x
  3. Step 3: Cross multiply
    933.61x = 1,956.66 × 1,956.66
  4. Step 4: Simplify right side
    933.61x = 3,828,503.68
  5. Step 5: Solve for x
    x = 3,828,503.68/933.61
  6. Step 6: Final answer
    x = 4,100.76

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.